Find the tangent line(s) to f(x) = (x + 1)/(x − 5)
with slope m = −6

9514 1404 393

Step-by-step explanation:

Each tangent line will be of the form ...

  y = -6x + b

where b = f(x1) +6·x1 for the points f'(x1) = -6.

Taking the derivative, we get ...

  f'(x) = ((x -5)(1) -(x+1)(1))/(x -5)^2 = -6/(x -5)^2

This will have a value of -6 when |x-5| = 1, or x=4 and x=6.

So, the lines are ...

at x=4

  y = -6x + (f(4) +6·4) = -6x +(5/-1)+24

  y = -6x +19

at x=6

  y = -6 +(f(6) +6·6) = -6x +(7/1)+36

  y = -6x +43

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

c: lkllmn.

hope it's you